[PDF] Top 20 Asymptotic behavior of second order nonlinear neutral dynamic equations

... The theory of dynamic equations on time scales, which goes back to its founder Hilger [], has recently attracted attention of researchers. Several authors have expounded on var- ious aspects of this new ... See full document

... Stability Implications on the Asymptotic Behavior of Second Order Differential Equations, Proc.. Stability and Asymptotic Behavior of Differential Equations, Heath, Boston, 1965.[r] ... See full document

... and asymptotic behavior of solutions for large t, we assume that sup T = ∞ and define the time scale interval [t  , ∞ ) T by [t  , ∞ ) T := [t  , ∞ ) ∩ T ... See full document

... for neutral differential equation () and its particular cases have been obtained under the assumption () which significantly sim- plifies the analysis of the behavior of z(t) = x(t) + p(t)x(t – τ ) for a ... See full document

... differential equations, see, for example, [2, 3, 1, 4, 5] and the references cited in ...the second-order nonlinear impulsive differential ... See full document

... known, neutral differential equations have a great number of applications in electric ...of neutral differential equations, we refer the reader to [–] and the references cited ... See full document

... In recent years, there has been much research activity concerning the oscillatory and nonoscillatory behavior of solutions to various classes of differential, difference, and dy- namic equations. We refer the ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... The objective of this paper is to study asymptotic nature of a class of third-order neutral delay differential equations. By using a generalized Riccati substitution and the integral averaging ... See full document

... oscillatory behavior of solutions to different classes of equations with nonnegative neutral coefficients; see, ...for equations with nonpositive neutral coefficients, there are relatively ... See full document

... the asymptotic proper- ties of solutions of a third order nonlinear neutral dynamic equation with dis- tributed deviating arguments on an arbitrary time scale ... See full document

... Theorems on oscillatory and asymptotic behavior of second order nonlinear neutral difference equations.. We determine sufficient conditions under which every solution of ( ∗ ) is either.[r] ... See full document

... and nonlinear ODEs of second order can arise during many applications in various scientific areas such as physics, biology, chemistry, biophysics, me- chanics, medicine, aerodynamics, economy, atomic ... See full document

... of dynamic indeterminism in science, there is hardly a serious piece of research, which, if treated realistically, does not involve operations on stochastic ...of second order difference of any two ... See full document

... a neutral dynamic equation, is more general than other third-order dynamic equations and therefore it is very ...of second-order nonlinear neutral delay ... See full document

... Zhang and Wang Advances in Difference Equations (2015) 2015 7 DOI 10 1186/s13662 014 0337 y R E S E A R C H Open Access Oscillation of second order nonlinear neutral dynamic equations with distributed[.] ... See full document

... and asymptotic behavior of solutions of neutral difference equations, see [1]-[5], and the references cited ...and asymptotic behavior of solu- tions of neutral difference ... See full document

... On the Oscillation of Second-Order Nonlinear Neutral Delay Dynamic Equations on Time Scales Quanxin Zhang, Xia Song, Li Gao Department of Mathematics, Binzhou University, Shandong, China[r] ... See full document

... the second order neutral difference equations to a study of the oscillation properties of various types of first order difference inequalities, which clearly simplifies the investigation of ... See full document

... since it provides needed relationship between yt and y n−1 t, and this fact permit us to establish just one condition for asymptotic behavior of 1.2. If we try to apply the Philos and Staikos lemma to E, ... See full document